document.write( "Question 1012481: At 3pm Mark left Pittsburg and drove towards Cleveland, 208 km away. At 3:30 pm Carole left Cleveland and headed towards Pittsburg, driving 2 km/h slower than MArk. If there cars passed each other at 4:30, how fast was each driving \n" ); document.write( "
Algebra.Com's Answer #628419 by josmiceli(19441)\"\" \"About 
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How much was Mark's head start?
\n" ); document.write( "Let \"+r+\" = Marks rate in km/hr
\n" ); document.write( "Let \"+d+\" = Mark's head start in km
\n" ); document.write( "\"+t+=+1%2F2+\" hr
\n" ); document.write( "\"+d%5B1%5D+=+r%2At+\"
\n" ); document.write( "\"+d%5B1%5D+=+r%2A%281%2F2%29+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Start a stopwatch when Carole leaves Cleveland
\n" ); document.write( "Let \"+d+\" = distance Carole travels until they meet
\n" ); document.write( "\"+r+-+2+\" = Carole's rate in km/hr
\n" ); document.write( "From 3:30 to 4:30 is \"+1+\" hr, so
\n" ); document.write( "Carole's equation is:
\n" ); document.write( "\"+d+=+%28+r+-+2+%29%2A1+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Mark's equation:
\n" ); document.write( "\"+208+-+r%2A%281%2F2%29+-+%28+r+-+2+%29%2A1+=+r%2A1+\"
\n" ); document.write( "\"+208+-+r%2F2+-+r+%2B+2+=+r+\"
\n" ); document.write( "\"+r+%2B+r+%2B+r%2F2+=+210+\"
\n" ); document.write( "\"+%285%2F2%29%2Ar+=+210+\"
\n" ); document.write( "\"+r+=+%282%2F5%29%2A210+\"
\n" ); document.write( "\"+r+=+84+\" km/hr
\n" ); document.write( "and
\n" ); document.write( "\"+r+-+2+=+82+\" km/hr
\n" ); document.write( "Mark's rate was 84 km/hr
\n" ); document.write( "Carole's rate was 82 km/hr
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "Carole's distance:
\n" ); document.write( "\"+d+=+%28+r+-+2+%29%2A1+\"
\n" ); document.write( "\"+d+=+82+\" km
\n" ); document.write( "Mark must have traveled \"+208+-+82+=+126+\" km
\n" ); document.write( "in \"+3%2F2+\" hrs at \"+84+\" km/hr
\n" ); document.write( "\"+126+=+84%2A%283%2F2%29+\"
\n" ); document.write( "\"+126+=+126+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );